The Klein-Gordon-Fock equation in the curved spacetime of the … arXiv:1709.03911v2 [math-ph] 20 Sep 2017 An Evolution Equation Approach to the Klein–Gordon Operator on Curved Spacetime Jan Derezi´nski, Daniel Siemssen Department of Mathemat Klein–Gordon equation in curved space-time - IOPscience Energy dispersed large energy solutions to the (4+1) dimensional Maxwell-Klein-Gordon equation, with D. Tataru, Amer. Exact solutions of the Klein-Gordon-Fock (KGF) general relativistic equation that describe the dynamics of a massive, electrically charged scalar particle … 2. 1.Quantum field theory in curved space-time: the background space-time is classical, meaning we work in zeroth order in ~. QUANTUM FIELD THEORY IN CURVED SPACETIME Password requirements: 6 to 30 characters long; ASCII characters only (characters found on a standard US keyboard); must contain at least 4 different symbols; The Spacetime Structure of Open Quantum Relativity [ PDF ] Yefremov A., Smarandache F., and Christianto V. Yang-Mills Field from Quaternion Space Geometry, and its Klein-Gordon Representation [ PDF ] Panchelyuga V. A. and Shnoll S. E. On the Dependence of a Local-Time Effect on Spatial Direction [ PDF ] Panchelyuga V. A. and Shnoll S. E. 6 CONTENTS These lectures provide an introduction to quantum eld theory on curved backgrounds. arxiv-export-lb.library.cornell.edu Exact solutions of the Klein-Gordon-Fock (KGF) general relativistic equation that describe the dynamics of a massive, electrically charged scalar particle in the curved spacetime geometry of a charged, rotating Kerr-Newman-(anti) de Sitter black hole Math. It is a quantized version of the relativistic energy–momentum relation ( | equation= ). equation What I have missed? The Klein-Gordon-Fock equation in the curved spacetime of the … The form of the Klein Gordon equation takes many different forms, but for the purpose of this project the equation took the form of: ! In Section 3, we introduce interactions of the scalar field with some vector potentials. Klein–Gordon equation - Wikipedia Linear instability of the Cauchy horizon in subextremal Reissner-Nordström spacetime under scalar perturbations. Bosons and Fermions in Curved Spacetime Dag-Morten Sjøstrøm Physics Supervisor: Kåre Olaussen, IFY Department of Physics … We solve the relativistic Klein--Gordon equation for a light particle gravitationally bound to a heavy central mass, with the gravitational interaction prescribed by the metric of a spherically symmetric space-time. ∂ L ∂ ( ∂ μ φ) = − g g μ ν ∂ ν φ and ∂ L ∂ φ = − g m 2 φ. Abstract. It is second-order in space and time and manifestly Lorentz-covariant. Spacetime Geometry and the Laws of Physics gx g x( )=detµν( )(22 ) It leads to the Klein Gordon equation ( )22 2 1 0 mc gg g µν ∂ − ∂+ =µν ψψ − 23 ) ( in curved space times. Last Post; Jun 4, 2010; Replies 3 ... Green's function for Klein-Gordno equation in curved spacetime. Abstract. The Klein–Gordon–Fock equation in the curved spacetime of the … Join LiveJournal [1711.00735] Klein-Gordon equation in curved space-time Coordinate systems in De Sitter spacetime - Radboud … Mathematical Problems in General Relativity, Stony Brook, NY, USA. 2.Semi-classical gravity: still treat the background as classical, but now take the back-reaction into account. Its solutions include a quantum scalar or pseudoscalar field, a field whose quanta are spinless particles. arXiv:1312.4823v1 [gr-qc] 17 Dec 2013 The Klein-Gordon equation J. Klein-Gordon equation in curved space-time - researchgate.net The gravitational interaction is prescribed by the metric of a spherically symmetric space-time. We solve the relativistic Klein--Gordon equation for a light particle gravitationally bound to a heavy central mass, with the gravitational interaction prescribed by the metric of a spherically symmetric space-time. Each spin has a relativistic wave equation describing the propagation of free particles. Exact solutions of the Klein-Gordon-Fock (KGF) general relativistic equation that describe the dynamics of a massive, electrically charged scalar particle in the curved spacetime geometry of an electrically charged, rotating Kerr-Newman-(anti) de Sitter black hole are investigated. By solving the GUP corrected equations, the authors arrived at quantization not only … The structure of this paper is as follows. The Klein-Gordon equation in curved spacetime has the following form: ( + m 2) Φ = [ 1 − g ∂ μ ( − g g μ ν ∂ ν) + m 2] Φ = 0 In the case of the Schwarzschild Metric, g 00 and g 11 are dimensionless, while g 22 and g 33 are not. We conclude in section 5. Sung-Jin The De Sitter metric is a solution for the Einstein equation with positive cosmological constant, modelling an expanding universe. Abstract. Massive Klein-Gordon equation from a Bose-Einstein ... - OSTI.GOV Utah State University DigitalCommons@USU 140 (2018), no. Progress in Physics (PDF) The Klein-Gordon-Fock equation in the curved spacetime of … We solve the relativistic Klein--Gordon equation for a light particle gravitationally bound to a heavy central mass, with the gravitational interaction prescribed by the metric of a spherically symmetric space-time. 1 #−% & ’ (% ’) #−%&) *+Φ=0 where g is the determinant of the matrix and the partial derivatives in the equations are their respectable parts of the metric. Our main tool is the method of (nonautonomous) evolution equations on Hilbert spaces. Klein The Klein-Gordon equation is generalized for curved spacetime, and solved in wave equations 18%. Metrics are considered for an impenetrable sphere, a soft sphere of uniform density, and a soft sphere … In the rst one we give a … Furthermore, any component of any solution to the free Dirac equation (for a spin-1/2 particle) is automatically a solution to the free Klein–Gordon equation. This generalizes to particles of any spin due to the Bargmann–Wigner equations. The solution of the KG equation in a … perturbation theory 16%. students 19%. of an atom falling into a generic black hole Discreteness of Curved Spacetime from GUP - Hindawi In section 4, we obtained the HBAR entropy for the GHS black hole. The Klein–Gordon equation (Klein–Fock–Gordon equation or sometimes Klein–Gordon–Fock equation) is a relativistic wave equation, related to the Schrödinger equation. Finally we need the useful expression for the covariant divergence: ∇ μ V μ = 1 g ∂ μ ( g V μ), … arXiv:1602.04830v2 [gr-qc] … We develop a theory of the Klein–Gordon equation on curved spacetimes. Klein-Gordon equation in curved space-time - Semantic Scholar An evolution equation approach to the Klein Gordon operator … Klein-Gordon equation in curved space-time. Klein-Gordon equation in curved space-time – Fingerprint — … Upload an image to customize your repository’s social media preview. Since many elementary particles have mass, this is an … Derivation of Klein-Gordon equation in General Relativity An Evolution Equation Approach to the Klein–Gordon … Sort by Weight Alphabetically Physics & Astronomy. We develop a global approach based on functional analytic methods from the theory of non-autonomous evolution equations, as developed by Kato in [24]. We extend the 'analogue spacetime' program by investigating a condensed-matter system that is in principle capable of simulating the massive Klein-Gordon equation in curved spacetime. View The Klein-Gordon equation in the spacetime of a charged and rotating black hole.pdf from MEDICAL LA 123 at Lagos State University. Massive Klein–Gordon equation from a BEC-based analogue … The course is divided into three parts. The Klein-Gordon-Fock equation in the curved spacetime of the … The Klein-Gordon-Fock equation in the curved spacetime of the … Our main tool is the method of (nonautonomous) evolution equations on Hilbert spaces. Klein-Gordon equation in curved space time - Physics Stack … equation in 1926. Diverse theories of quantum gravity expect modifications of the Heisenberg's uncertainty principle near the Planck scale to a so-called Generalized uncertainty principle (GUP). physics 24%. Ciro Santilli's Homepage Solutions for the Klein–Gordon oscillator are found considering two configurations of this space-time. The Schrödinger equation is a linear partial differential equation that governs the wave function of a quantum-mechanical system. Topics Theories of equilibrium and non-equilibrium critical phenomena and methods to study fluctuating systems selected from the following list of topics: Percolation, scaling theory, phase transitions, Landau-Ginzburg theory, lattice models, Monte Carlo methods, renormalization group, self-organized criticality, theory of random graphs; Brownian motion, random walks and … event horizon 23%. In Sec. Numerical simulations of semi-linear Klein-Gordon equations in … the covariant Klein-Gordon field equation with and with-out considering conformal symmetry. In this study, we analyze solutions of the wave equation for scalar particles in a space-time with nontrivial topology. For simplicity, we consider the former. equation, such as the Klein–Gordon (KG) equation or the Diracequation. where ψ is the Klein–Gordon field, and m is its mass. The complex conjugate of ψ is written ψ. If the scalar field is taken to be real-valued, then ψ = ψ, and it is customary to introduce a factor of 1/2 for both terms. 2 and the discretized equation with SPS in Sec. Although it turned out that modeling the electron's spin required the Dirac equation, the Klein–Gordon equation correctly describes the spinless relativistic composite particles, like the pion. On 4 July 2012, European Organization for Nuclear Research CERN announced the discovery of the Higgs boson. Nevertheless, ultimately they are not satisfactory because they do not permit a description of fields in a principled quantum-mechanical way. The Klein-Gordon and Dirac equations, resulting from the search for relativistic analogues of the Schrödinger equation in the 1920s, do respect the requirement of Lorentz invariance. Dive into the research topics of 'Klein-Gordon equation in curved space-time'. View 4 peer reviews of The Klein-Gordon-Fock equation in the curved spacetime of the Kerr-Newman (anti) de Sitter black hole on Publons Download Web of Science™ My Research Assistant : Bring the power of the Web of Science to your … AN EVOLUTION EQUATION APPROACH TO THE KLEIN–GORDON OPERATOR ON CURVED SPACETIME JAN DEREZINSKI´ AND DANIEL SIEMSSEN We develop a theory of the Klein–Gordon equation on curved spacetimes. For the lowest three Klein-Gordon equation in curved space-time — … The Klein–Gordon equation (Klein–Fock–Gordon equation or sometimes Klein–Gordon–Fock equation) is a relativistic wave equation, related to the Schrödinger equation.It is second-order in space and time and manifestly Lorentz-covariant.It is a quantized version of the relativistic energy–momentum relation (= + ()).Its solutions include a quantum scalar or pseudoscalar … Very often some extra terms containing the curvature scalar Rare arbitrarily added to Equati on (23) in the literatur [14] . Abstract: We solve the relativistic Klein--Gordon equation for a light particle gravitationally bound to a heavy central mass, with the gravitational interaction prescribed by the metric of a spherically symmetric space-time. Our main goal is a construction of various kinds of propagators needed in quantum field theory. Furthermore, in quantum field theory, every component of every quantum field must satisfy the free Klein–Gordon equation, making the equation a generic expression of quantum fields. The Klein–Gordon equation can be generalized to describe a field in some potential V(ψ) as Klein-Gordon equation in nLab QFT in curved space-time - LMU You will be redirected to the full text document in the repository in a few seconds, if not click here.click here. DECAY ESTIMATES FOR THE KLEIN-GORDON EQUATION IN … In Section 4, we discuss our results and in Section 5 we give our conclusions. We review the canonical equation of the Klein-Gordon equation in the de Sitter spacetime in Sec. EJDE-2018/17 KLEIN-GORDON EQUATION IN CURVED SPACETIME 5 with f2C1(Rn+1) is given by Yagdjian-Galstian [9, 10] as follows ( x;t) = 2e nt=2 Z t 0 db Z e b e t 0 dren 2 bv(x;r;b)E(r;t;0;b;M); (3.7) where v(x;t;b) is the solution to the following initial value problem for the wave equation v tt v= 0; v(x;0;b) = f(x;b); v t(x;0;b) = 0; (x;t) 2Rn (0;1); (3.8) where b>0. The gravitational Klein-Gordon Equation | Physics Forums The Klein-Gordon-Fock equation in the curved spacetime of the … Exact solutions of the Klein–Gordon–Fock (KGF) general relativistic equation that describe the dynamics of a massive, electrically charged scalar particle in the curved spacetime geometry of an electrically charged, rotating Kerr–Newman– (anti) de Sitter black hole are investigated. This approach allows us to treat low regularity of the metric, of the electromagnetic potential and of the scalar potential. Spacetime Geometry and the Laws of Physics - scirp.org The De Sitter metric has a coordinate sin-gularity corresponding to an event horizon. We report the methods and results of a computational physics project on the solution of the relativistic Klein-Gordon equation for a light particle gravitationally bound to a heavy central mass. Klein-Gordon equation in curved space-time - groundai.com Bug reports and feature requests link split "Always out-of-date and rarely update list of open source contributions by Ciro Santilli" 0 Metrics are considered for an impenetrable sphere, a soft sphere of uniform density, and … Modified General Relativity and the Klein-Gordon Equation in … The Klein-Gordon equation is the linear partial differential equation which is the equation of motion of a free scalar field of possibly non-vanishing mass m on some (possibly curved) spacetime ( Lorentzian manifold ): it is the relativistic wave equation with inhomogeneity the mass m2. The Klein-Gordon-Fock equation in the curved spacetime of the … [1711.00735v1] Klein-Gordon equation in curved space-time An evolution equation approach to the Klein–Gordon operator on …